Eccentric compression stability of multi-walled carbon nanotubes embedded in an elastic matrix

Composites Science and Technology

Volumn 67, Issue 7-8, 2007, Pages 1406-1414

  Wang, X Y ^a   Wang, X ^a   Xia, X H ^a  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

B. Mechanical properties; B. Modeling; Carbon nanotubes

Indexed keywords

AXIAL COMPRESSION; BENDING MOMENTS; BUCKLING; CONTINUUM MECHANICS; VAN DER WAALS FORCES;

ECCENTRIC COMPRESSION STABILITY; MATRIX STIFFNESS;

MULTIWALLED CARBON NANOTUBES (MWCN);

BENDING; BUCKLING; CALCULATION; CARBON; COMPRESSION; LOADING (TESTING); MATRIX; MECHANICAL PROPERTY; NANOTUBE; STABILITY; STIFFNESS;

EID: 33847757410     PISSN: 02663538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compscitech.2006.09.006     Document Type: Article

References (48)

1. Iijima S. Helical microtubes of graphitic carbon. Nature 354 (1991) 56-58
2. Avouris P.H., Hertel T., Martel R., Schmidt T., Shea H.R., and Walkup R.E. Carbon nanotubes: nanomechanics, manipulation, and electronic devices. Appl Surf Sci 141 (1999) 201-209
3. Dresselhaus M.S., Dresselhaus G., and Avouris P.H. Carbon Nanotubes. Topics Appl Phys 80 (2001) 287-329
4. Saito Y., and Uemura S. Field emission from carbon nanotubes and its application to electron sources. Carbon 38 (2000) 169-182
5. Lau K.T., and Hui D. The revolutionary creation of new advanced materials-carbon nanotube composites. Composites: part B 33 (2002) 263-277
6. Falvo M.R., Clary G.J., Taylor R.M., Chi V., Brooks F.P., Washburn S., and Superfine R. Bending and buckling of carbon nanotubes under large strain. Nature 389 (1997) 582-584
7. Yakobson B.I., Brabec C.J., and Bernholc J. Nanomechanics of carbon tubes: instability beyond linear response. Phys Rev lett 76 (1996) 2511-2514
8. Lau K.T., Chong G., and Gao G.H. Stretching process of single-and multi-walled carbon nanotubes for nanocomposite applications. Carbon 42 (2004) 423-460
9. Lau K.T., and Shi S.Q. Failure mechanisms of carbon nanotube/epoxy composites pretreated in different temperature environments. Carbon 40 (2002) 2965-2968
10. Toshiaki N., Kriengkamol T., and Morinobu E. Prediction of elastic properties for single-walled carbon nanotubes. Carbon 42 (2004) 39-45
11. Wang X., and Dai H.L. Dynamic response of a single wall carbon nanotube subjected to impact. Carbon 44 (2006) 158-193
12. Tu Z.C., and Yang Z.C. Single walled and multiwalled carbon nanotubes viewed as elastic tubes with the effective Young's moduli dependent on layer number. Phys Rev B 65 (2002) 233407-1-233407-4
13. Li X., and Bhushan B. A review of nanoindentation continuous stiffness measurement technique and its applications. Mater Charact 48 (2002) 11-36
14. Li X., Gao H., and Catherine J. Nanoindentation of silver nanowires. Nano Lett 3 (2003) 1495-1498
15. Li X., Chang W.C., Chao Y.J., Wang R., and Chang M. Nanoscale structure and mechanical characterization of a natural nanocomposite material: the shell of red abalone. Nano Lett 4 (2004) 613-617
16. Belytschko T., Xiao S., Schatz G., and Ruoff R. Atomistic simulation of nanotube fracture. Phys Rev B 65 (2002) 235430-235436
17. Saito R., Takeya T., Kimura T., Dresselhaus G., and Dresselhaus M.S. Raman intensity of single-wall carbon nanotubes. Phys Rev B 57 (1998) 4145-4153
18. Wang X.Y., and Wang X. Numerical simulation for bending modulus of carbon nanotubes and some explanations for experiment. Composites: part B 35 (2004) 79-86
19. Wang X., Zhang Y.C., Xia X.H., and Huang C.H. Effective bending modulus of carbon nanotubes with rippling deformation. Int J Solids Struct 41 (2004) 6429-6439
20. Wang X., Wang X.Y., and Xiao J. A nonlinear analysis of the bending modulus of carbon nanotubes with rippling deformations. Compos Struct 69 (2005) 315-321
21. Ruoff R.S., Tersoff J., Lorents D.C., Subramoncy S., and Chan B. Radial deformation of carbon nanotubes by van der Waals forces. Nature 364 (1993) 514
22. Kane C.L., and Mele E.J. Size, shape, and low energy electronic structure of carbon nanotubes. Phys Rev Lett 78 (1997) 1932-1935
23. Kitipornchai S., He X.Q., and Liew K.M. Buckling analysis of triple-walled carbon nanotubes embedded in an elastic matrix. J Appl Phys 97 (2005) 114318-1-114318-7
24. Han Q., Lu G., and Dai L. Bending instability of an embedded double-walled carbon nanotube based on Winkler and van der Waals models. Compos Sci Technol 65 (2005) 1337-1346
25. Han Q., and Lu G. Torsional buckling of a double-walled carbon nanotube embedded in an elastic medium. Eur J Mech A/Solids 22 (2003) 875-883
26. Wang C.Y., Ru C.Q., and Mioduchowskil A. Axially compressed buckling of pressured multi-walled carbon nanotubes. Int J Solids Struct 40 (2003) 3893-3911
27. Ru C.Q. Axially compressed buckling of a doublewalled carbon nanotube embedded in an elastic medium. J Mech Phys Solids 49 (2001) 1265-1279
28. Ru C.Q. Effect of van der Waals forces on axial buckling of a doublewall carbon nanotube. J Appl Phys 87 (2000) 7227-7231
29. Wang X., and Yang H.K. Axially critical load of multi-walled carbon nanotubes under thermal environment. J Therm Stresses 28 (2005) 185-196
30. Wang C.Y., Ru C.Q., and Mioduchowskil A. Elastic buckling of multi-walled carbon nanotubes under high pressure. J Nanosci Nanotechnol 3 (2003) 199-208
31. Ru C.Q. Elastic buckling of single-walled carbon nanotubes ropes under high pressure. Phys Rev B 62 (2000) 10405-10408
32. Tang D.S., Bao Z.X., Wang L.J., Chen L.C., Sun L.F., Liu Z.Q., Zhou W.Y., and Xie S.S. The electrical behavior of carbon nanotubes under high pressure. J Phys Chem Solids 61 (2000) 1175-1178
33. Arroyo M., and Belytschko T. Nonlinear mechanical response and rippling of thick multi-walled carbon nanotubes. Phys Rev Lett 21 (2003) 215505-1-215505-4
34. Williams P.A., Papadakis S.J., Patel A.M., Falvo M.R., Washburn S., and Superfine R. Torsional response and stiffening of individual multi-walled carbon nanotubes. Phys Rev Lett 89 (2002) 255502
35. Charlier J.C., and Michenaud J.P. Energies of multilayered carbon tubules. Phys Rev Lett 70 (1993) 1858-1861
36. Timoshenko S.P., and Gere J.M. Theory of Elastic Stability (1961), McGraw-Hill, New York
37. Bulson P.S. Buried structures (1985), Chapman and Hall, London
38. 60 molecules. J Phys Chem 95 (1991) 5370-5371
39. Iijima S., Brabec C., Maiti A., and Bernholc J. Structural flexibility of carbon nanotubes. J Chem Phys 104 5 (1996) 2089-2092
40. Robertson D.H., Brenner D.W., and Mintmire J.W. Energetics of nanoscale graphitic tubules. Phys Rev B 45 (1992) 12592-12595
41. Lu J.P. Elastic properties of carbon nanotubes and nanoropes. Phys Rev Lett 79 (1997) 1297-1300
42. Saito R., Matsuo R., Kimura T., Dresselhaus G., and Dresselhaus M.S. Anomalous potential barrier of double-wall carbon nanotube. Chem Phys Lett 348 (2001) 187-193
43. Gulseren O., Yildirim T., and Ciraci S. Systematic ab initio study of curvature effects in carbon nanotubes. Phys Rev B 65 (2002) 153405-153408
44. Calladine C.R. Theory of shell structures (1983), Cambridge University Press, Cambridge
45. Poncharal P., Wang Z.L., Ugarte D., and Heer de W.A. Electrostatic deflections and electromechanical resonances of carbon nanotubes. Science 283 (1999) 1513-1516
46. Pantano A., Boyce M.C., and Parks D.M. Nonlinear structural mechanics based modeling of carbon nanotube deformation. Phys Rev Lett 91 (2003) 145504-1-145504-4
47. He X.Q., Kitipornchai S., and Liew K.M. Buckling analysis of multi-walled carbon nanotubes: a continuum model accounting for van der Waals interaction. J Mech Phys Solids 53 (2005) 303-326
48. He X.Q., Kitipornchai S., Wang C.M., and Liew K.M. Modeling of van der Waals force for infinitesimal deformation of multi-walled carbon nanotubes treated as cylindrical shells. Int J Solids Struct 42 (2005) 6032-6047